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34499666880 = 2633573118401
BaseRepresentation
bin100000001000010101…
…110010001111000000
310022001100012122221000
4200020111302033000
51031123403320010
623503211332000
72330635221120
oct401025621700
9108040178830
1034499666880
11136a4187398
126829a51000
13333a683093
141953ca8c80
15d6db9d7c0
hex8085723c0

34499666880 has 448 divisors, whose sum is σ = 143588597760. Its totient is φ = 7630848000.

The previous prime is 34499666827. The next prime is 34499666881. The reversal of 34499666880 is 8866699443.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34499666881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1865680 + ... + 1884080.

Almost surely, 234499666880 is an apocalyptic number.

34499666880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34499666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71794298880).

34499666880 is an abundant number, since it is smaller than the sum of its proper divisors (109088930880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34499666880 is a wasteful number, since it uses less digits than its factorization.

34499666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18465 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 34499666880 in words is "thirty-four billion, four hundred ninety-nine million, six hundred sixty-six thousand, eight hundred eighty".